This book reconstructs the emergence of the phenomenon of “lost time” by engaging with two of the most significant time experts of the nineteenth century: the German physiologist Hermann von Helmholtz and the French writer Marcel Proust. Its starting point is the archival discovery of curve images that Helmholtz produced in the context of pathbreaking experiments on the temporality of the nervous system in 1851. With a “frog drawing machine,” Helmholtz established the temporal gap between stimulus and response that has remained a core issue in debates between neuroscientists and philosophers. When naming the recorded phenomena, Helmholtz introduced the term temps perdu, or lost time. Proust had excellent contacts with the biomedical world of late-nineteenth-century Paris, and he was familiar with this term and physiological tracing technologies behind it. Drawing on the machine philosophy of Deleuze, Schmidgen highlights the resemblance between the machinic assemblages and rhizomatic networks within which Helmholtz and Proust pursued their respective projects.

This publication reconstructs the emergence of the phenomenon of 'lost time', i.e. the gap between stimulus and response, by engaging with two of the most significant time experts of the 19th century: the German physiologist Hermann von Helmholtz (1821-1894) and the French writer Marcel Proust (1871-1922). It argues that the discovery and explanation of this phenomenon was closely tied to the functioning of laboratory technologies.

This monograph is divided into five parts and opens with elements of the theory of singular integral equation solutions in the class of absolutely integrable and non-integrable functions. The second part deals with elements of potential theory for the Helmholtz equation, especially with the reduction of Dirichlet and Neumann problems for Laplace and Helmholtz equations to singular integral equations. Part three contains methods of calculation for different one-dimensional and two-dimensional singular integrals. In this part, quadrature formulas of discrete vortex pair type in the plane case and closed vortex frame type in the spatial case for singular integrals are described for the first time. These quadrature formulas are applied to numerical solutions of singular integral equations of the 1st and 2nd kind with constant and variable coefficients, in part four of the book. Finally, discrete mathematical models of some problems in aerodynamics, electrodynamics and elasticity theory are given.

Localized Dynamics of Thin-Walled Shells focuses on localized vibrations and waves in thin-walled structures with variable geometrical and physical characteristics. It emphasizes novel asymptotic methods for solving boundary-value problems for dynamic equations in the shell theory, in the form of functions which are highly localized near both fixed and moving lines/points on the shell surface. Features First-of-its-kind work, synthesizing knowledge of the localization of vibrations and waves in thin-walled shells with a mathematical tool to study them Suitable for researchers working on the dynamics of thin shells and also as supplementary reading for undergraduates studying asymptotic methods Offers detailed analysis of wave processes in shells with varying geometric and physical parameters

In the last several years there has been an explosion in the ability of biologists, molecular biologists and biochemists to collect vast amounts of data on their systems. This volume presents sophisticated methods for estimating the thermodynamic parameters of specific protein-protein, protein-DNA and small molecule interactions.